Ground state solutions for the fractional impulsive differential system with ψ ‐Caputo fractional derivative and ψ –Riemann–Liouville fractional integral
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DOI: 10.1002/mma.10023
Abstract: This article examines a new family of (p,q)‐Laplacian type nonlinear fractional impulsive differential coupled equations involving both the ψ$$ \psi $$ ‐Caputo fractional derivative and ψ$$ \psi $$ –Riemann–Liouville fractional integral. With the help of… read more here.
Keywords: caputo fractional; fractional derivative; liouville fractional; impulsive differential ... See more keywords
Study of Caputo fractional derivative and Riemann–Liouville integral with different orders and its application in multi‐term differential equations
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DOI: 10.1002/mma.10392
Abstract: In this article, we initially provided the relationship between the RL fractional integral and the Caputo fractional derivative of different orders. Additionally, it is clear from the literature that studies into boundary value problems involving… read more here.
Keywords: multi term; caputo fractional; differential equations; fractional derivative ... See more keywords
Fractional Newton‐type integral inequalities for the Caputo fractional operator
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DOI: 10.1002/mma.10600
Abstract: In this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of… read more here.
Keywords: fractional operator; caputo fractional; newton type;
Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory
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DOI: 10.1007/s11012-021-01364-w
Abstract: In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration. The three proposed methods… read more here.
Keywords: derivative variable; riesz caputo; variable order; caputo fractional ... See more keywords
Existence results for nonlinear neutral generalized Caputo fractional differential equations
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DOI: 10.1007/s11868-021-00400-3
Abstract: This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We… read more here.
Keywords: fractional differential; generalized caputo; caputo fractional; nonlinear neutral ... See more keywords
Numerical method for a non-local boundary value problem with Caputo fractional order
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DOI: 10.1007/s12190-021-01501-4
Abstract: A non-local boundary value problem with Caputo fractional derivative of order $$1 read more here.
Keywords: numerical method; local boundary; boundary value; caputo fractional ... See more keywords
Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations
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DOI: 10.1007/s12591-017-0384-4
Abstract: The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions… read more here.
Keywords: impulsive caputo; mittag leffler; fractional differential; caputo fractional ... See more keywords
An epidemiological MSEIR model described by the Caputo fractional derivative
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DOI: 10.1007/s40435-018-0492-1
Abstract: A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given.… read more here.
Keywords: fractional derivative; mseir model; caputo fractional; epidemiological mseir ... See more keywords
Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives
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DOI: 10.1007/s40819-018-0543-5
Abstract: In this paper, an epidemic model is presented to describe the dynamics of drugs usage among the adults. The Caputo fractional derivative operator of order $$\phi \in (0, 1]$$ϕ∈(0,1] is employed to obtain the system… read more here.
Keywords: approximate solution; solution analysis; epidemic model; model ... See more keywords
On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control
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DOI: 10.1007/s44198-023-00164-y
Abstract: This research paper establishes the existence and uniqueness of solutions for a non-integer high-order boundary value problem, incorporating the Caputo fractional derivative with a non-local type boundary condition. The analytical approach involves the introduction of… read more here.
Keywords: caputo fractional; value problem; boundary value; high order ... See more keywords
High-order central difference scheme for Caputo fractional derivative
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DOI: 10.1016/j.cma.2016.12.008
Abstract: Abstract In this paper we propose a class of central difference schemes for resolving the Caputo fractional derivative. The accuracy may reach any selected integer order. More precisely, the Caputo fractional derivative operator is decomposed… read more here.
Keywords: order; fractional derivative; scheme; central difference ... See more keywords